9966512993 has 2 divisors, whose sum is σ = 9966512994. Its totient is φ = 9966512992.

The previous prime is 9966512977. The next prime is 9966513013. The reversal of 9966512993 is 3992156699.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9046482769 + 920030224 = 95113^2 + 30332^2 .

It is a cyclic number.

It is not a de Polignac number, because 9966512993 - 2⁴ = 9966512977 is a prime.

It is not a weakly prime, because it can be changed into another prime (9966532993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4983256496 + 4983256497.

It is an arithmetic number, because the mean of its divisors is an integer number (4983256497).

Almost surely, 2^9966512993 is an apocalyptic number.

It is an amenable number.

9966512993 is a deficient number, since it is larger than the sum of its proper divisors (1).

9966512993 is an equidigital number, since it uses as much as digits as its factorization.

9966512993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7085880, while the sum is 59.

The square root of 9966512993 is about 99832.4245573551. The cubic root of 9966512993 is about 2152.0271483316.

The spelling of 9966512993 in words is "nine billion, nine hundred sixty-six million, five hundred twelve thousand, nine hundred ninety-three".